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Finding the Fourth Proportional to 1,043.77, 1,440.39 and 578.01

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Solution

The fourth proportional to 1,043.77, 1,440.39 and 578.01 is: 797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.77 : 1,440.39 = 578.01 : x
  2. Step 2: Convert to fraction form
    1,043.77/1,440.39 = 578.01/x
  3. Step 3: Cross multiply
    1,043.77x = 1,440.39 × 578.01
  4. Step 4: Simplify right side
    1,043.77x = 832,556.93
  5. Step 5: Solve for x
    x = 832,556.93/1,043.77
  6. Step 6: Final answer
    x = 797.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.